Sg. Mogilevskaya, The complex one-sided integrals of Cauchy and Hadamard and application to boundary element method, INT J NUM A, 22(12), 1998, pp. 947-968
Citations number
27
Categorie Soggetti
Geological Petroleum & Minig Engineering
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
The definitions of complex integrals of Cauchy and Hadamard with the singul
ar point coinciding with the end point of the integration curve are propose
d. It is shown that the new integrals satisfy most of the properties of the
regular ones, including the change of variables. It is also shown that the
Cauchy principal value (CPV) and Hadamard finite-part (HFP) integrals can
be considered as a sum of the new type integrals. The application to numeri
cal solution by the boundary element method (BEM) and the complex hypersing
ular integral equation (CHSIE) for the multiregions of interacting elastic
bodies and bodies with cracks and holes is discussed. The different ways to
place the collocation points are considered. The numerical-results for the
problems of circular hole and circular elastic inclusion in infinite plate
indicated that the appropriate choice of the approximating functions leads
to a high accuracy of the calculation. Applications of the new technique t
o geomechanics problems are discussed. (C) 1998 John Wiley & Sons, Ltd.